Isotopic branching in (He, HD+) collisions: A time-dependent quantum mechanical study in three dimensions

A time-dependent quantum mechanical approach has been used to investigate t he reaction He+HD+(v=0-4,j=0-3)--> HeH++D; HeD++H in three dimensions for t otal angular momentum J=0. The vib-rotation (v,j) state-selected reaction p robability (P-v,j(R)) is shown to increase with v over the collision energy (E-trans) range (0.95-2.25 eV) investigated for both the exchange channels , in accord with the experimental results. The isotopic branching ratio Gam ma=P-R(HeH+)/P-R(HeD+) generally remains less than unity for different v st ates at different E-trans in agreement with experiment. But at E-trans=1.0 eV, for v=4, Gamma obtained from our calculations for j=0 of HD+ is similar to 0.8, in excellent agreement with the earlier quasiclassical trajectory calculations, but a factor of 2 less than that obtained from experiment. Th is difference could arise from the inclusion of nonzero j states in the exp erimental study, as P-v,j(R) is found to be j dependent for both the channe ls. While P-v,j(R) (HeH+) decreases initially with increase in j from 0 to 2 and then increases when j is increased further to 3, P-v,j(R) (HeD+) reve als an unusual j dependence; it is larger for even j states of HD+ than for odd j. As a result, Gamma is strongly dependent on j, in contrast to the m arginal dependence shown by the earlier quasiclassical trajectory calculati ons. (C) 1999 American Institute of Physics. [S0021- 9606(99)00547-4].